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Finding the Fourth Proportional to 368.50, 508.24 and 228.70

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Solution

The fourth proportional to 368.50, 508.24 and 228.70 is: 315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.50 : 508.24 = 228.70 : x
  2. Step 2: Convert to fraction form
    368.50/508.24 = 228.70/x
  3. Step 3: Cross multiply
    368.50x = 508.24 × 228.70
  4. Step 4: Simplify right side
    368.50x = 116,233.93
  5. Step 5: Solve for x
    x = 116,233.93/368.50
  6. Step 6: Final answer
    x = 315.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.